Path integral representation of the evolution operator for the Dirac equation

Details Path integral representation of the evolution operator for the Dirac equation Path integral representation of the evolution operator for the Dirac equation

2006-05-25

arxiv.org/abs/gr-qc/0605129v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages

Scientific paper

10.1117/12.726706

A path integral representation of the evolution operator for the four-dimensional Dirac equation is proposed. A quadratic form of the canonical momenta regularizes the original representation of the path integral in the electron phase space. This regularization allows to obtain a representation of the path integral over trajectories in the configuration space, i.e. in the Minkowsky space. This form of the path integral is useful for the formulation of perturbation theory in an external electromagnetic field.

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